Answer:
= 4sqrt3
Step-by-step explanation:
-2i sqrt -12
= -2i * i sqrt12 <-- i^2 = -1
= -2i^2sqrt12
= -2(-1)sqrt12
= 2sqrt12
= 2 * 2 sqrt3
= 4sqrt3
The coordinates of the image point are given to be B(4, -8). We are to find the coordinates of pre-image that is the coordinates before the translation.
The translation made was (x-2, y+3)
This means, the x coordinate was moved 2 units to left and y coordinate was moved 3 units above.
So, the coordinates of original point will be, 2 units to right of B and 3 units down of B.
So the coordinates will be (6, -11)
Answer:
y = (x-1/x+2)(x-1)
y = -3(x-1)
y = -3x+3
-3x y = 3
x y = -1
x(0) y = -1
y = -1
Step-by-step explanation:
Answer:
i think 2/15 of the cookies
Step-by-step explanation:
hope this helps
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct